What is factor ax^2-a+bx^2-b ?

The solution to factor ax^2-a+bx^2-b is (1+x)(-1+x)(a+b)

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factor ax^2-a+bx^2-b

factor

a x^{2} - a + b x^{2} - b

(1 + x) (- 1 + x) (a + b)

Solution steps

a x^{2} - a + b x^{2} - b

Factor out common term

a

= a (x^{2} - 1) + b x^{2} - b

Factor

x^{2} - 1 : (x + 1) (x - 1)

= b x^{2} + a (x + 1) (x - 1) - b

Factor out common term

b

= a (1 + x) (- 1 + x) + b (x^{2} - 1)

Factor

x^{2} - 1 : (x + 1) (x - 1)

= a (x + 1) (x - 1) + b (x + 1) (x - 1)

Factor out common term

(1 + x) (- 1 + x)

= (1 + x) (- 1 + x) (a + b)

(4 x^{4}) (4 x^{4})

(x^{2} - 1)^{2} + (2 x)^{2}

3 e^{2 + 2 iπ}

(+ 3) \cdot x^{4}

(2 a + b)^{2} - 2 (2 a + b) - 35

What is factor ax^2-a+bx^2-b ?
The solution to factor ax^2-a+bx^2-b is (1+x)(-1+x)(a+b)